{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:QBDEAKL3AMQKMS3EA43BHUFME4","short_pith_number":"pith:QBDEAKL3","canonical_record":{"source":{"id":"hep-lat/9801015","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1998-01-14T23:12:32Z","cross_cats_sorted":[],"title_canon_sha256":"1c19705a561d84e71d2ec499d455d8342ff16496f18aa19150a2ae9d31c7b18e","abstract_canon_sha256":"1ad5db68f80f17c655387502bb9916a6efecbfe69d663f99035205d7883a5fe3"},"schema_version":"1.0"},"canonical_sha256":"804640297b0320a64b64073613d0ac272b147dc5a0bf3459bc2618b1dea1493f","source":{"kind":"arxiv","id":"hep-lat/9801015","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9801015","created_at":"2026-05-18T01:06:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9801015v1","created_at":"2026-05-18T01:06:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9801015","created_at":"2026-05-18T01:06:36Z"},{"alias_kind":"pith_short_12","alias_value":"QBDEAKL3AMQK","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"QBDEAKL3AMQKMS3E","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"QBDEAKL3","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:QBDEAKL3AMQKMS3EA43BHUFME4","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9801015","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1998-01-14T23:12:32Z","cross_cats_sorted":[],"title_canon_sha256":"1c19705a561d84e71d2ec499d455d8342ff16496f18aa19150a2ae9d31c7b18e","abstract_canon_sha256":"1ad5db68f80f17c655387502bb9916a6efecbfe69d663f99035205d7883a5fe3"},"schema_version":"1.0"},"canonical_sha256":"804640297b0320a64b64073613d0ac272b147dc5a0bf3459bc2618b1dea1493f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:36.314575Z","signature_b64":"4Zmdh1qZVHJi/vX8jePzblX61WOzUIFK2l5IP9tzWbieKnMgil/NitZlB+/n9uzTiYhEO0dtWWHjGUwuLL1JAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"804640297b0320a64b64073613d0ac272b147dc5a0bf3459bc2618b1dea1493f","last_reissued_at":"2026-05-18T01:06:36.313858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:36.313858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9801015","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:06:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dpXmn25OyIKgNH6xJm1xZCHpUq4cwfT57D7BpFpM1fJ+somQTqkMFfSn7lSRC4IFCaZSwIrtfAYYrtQWZtlAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:03:39.774378Z"},"content_sha256":"dbe40c88419e29eaef6b26c4c6e7c677278d8d3d185c38617c29897073596549","schema_version":"1.0","event_id":"sha256:dbe40c88419e29eaef6b26c4c6e7c677278d8d3d185c38617c29897073596549"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:QBDEAKL3AMQKMS3EA43BHUFME4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The hermitian Wilson-Dirac operator in smooth SU(2) instanton backgrounds","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Rajamani Narayanan, Robert G. Edwards, Urs M. Heller","submitted_at":"1998-01-14T23:12:32Z","abstract_excerpt":"We study the spectral flow of the hermitian Wilson-Dirac operator $\\ham(m)$ as a function of $m$ in smooth SU(2) instanton backgrounds on the lattice. For a single instanton background with Dirichlet boundary conditions on $\\ham(m)$, we find a level crossing in the spectral flow of $\\ham(m)$, and we find the shape of the crossing mode at the crossing point to be in good agreement with the zero mode associated with the single instanton background. With anti-periodic boundary conditions on $\\ham(m)$, we find that the instanton background in the singular gauge has the correct spectral flow but th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9801015","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:06:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IOyxAhr8VfQJyKYVpQlWE2gG9Y/qYPEYtAQa+cLQGiVc004OM9IaQFF2HRfMSOyBvhp3BzxKB4je/SwgGh2MAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:03:39.774745Z"},"content_sha256":"fff87a2a0e8bf1f570e30acd0d16d311b77c9cd5be35714147df8b5d435c4da9","schema_version":"1.0","event_id":"sha256:fff87a2a0e8bf1f570e30acd0d16d311b77c9cd5be35714147df8b5d435c4da9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QBDEAKL3AMQKMS3EA43BHUFME4/bundle.json","state_url":"https://pith.science/pith/QBDEAKL3AMQKMS3EA43BHUFME4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QBDEAKL3AMQKMS3EA43BHUFME4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T16:03:39Z","links":{"resolver":"https://pith.science/pith/QBDEAKL3AMQKMS3EA43BHUFME4","bundle":"https://pith.science/pith/QBDEAKL3AMQKMS3EA43BHUFME4/bundle.json","state":"https://pith.science/pith/QBDEAKL3AMQKMS3EA43BHUFME4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QBDEAKL3AMQKMS3EA43BHUFME4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:QBDEAKL3AMQKMS3EA43BHUFME4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1ad5db68f80f17c655387502bb9916a6efecbfe69d663f99035205d7883a5fe3","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1998-01-14T23:12:32Z","title_canon_sha256":"1c19705a561d84e71d2ec499d455d8342ff16496f18aa19150a2ae9d31c7b18e"},"schema_version":"1.0","source":{"id":"hep-lat/9801015","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9801015","created_at":"2026-05-18T01:06:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9801015v1","created_at":"2026-05-18T01:06:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9801015","created_at":"2026-05-18T01:06:36Z"},{"alias_kind":"pith_short_12","alias_value":"QBDEAKL3AMQK","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"QBDEAKL3AMQKMS3E","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"QBDEAKL3","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:fff87a2a0e8bf1f570e30acd0d16d311b77c9cd5be35714147df8b5d435c4da9","target":"graph","created_at":"2026-05-18T01:06:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the spectral flow of the hermitian Wilson-Dirac operator $\\ham(m)$ as a function of $m$ in smooth SU(2) instanton backgrounds on the lattice. For a single instanton background with Dirichlet boundary conditions on $\\ham(m)$, we find a level crossing in the spectral flow of $\\ham(m)$, and we find the shape of the crossing mode at the crossing point to be in good agreement with the zero mode associated with the single instanton background. With anti-periodic boundary conditions on $\\ham(m)$, we find that the instanton background in the singular gauge has the correct spectral flow but th","authors_text":"Rajamani Narayanan, Robert G. Edwards, Urs M. Heller","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1998-01-14T23:12:32Z","title":"The hermitian Wilson-Dirac operator in smooth SU(2) instanton backgrounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9801015","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dbe40c88419e29eaef6b26c4c6e7c677278d8d3d185c38617c29897073596549","target":"record","created_at":"2026-05-18T01:06:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1ad5db68f80f17c655387502bb9916a6efecbfe69d663f99035205d7883a5fe3","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1998-01-14T23:12:32Z","title_canon_sha256":"1c19705a561d84e71d2ec499d455d8342ff16496f18aa19150a2ae9d31c7b18e"},"schema_version":"1.0","source":{"id":"hep-lat/9801015","kind":"arxiv","version":1}},"canonical_sha256":"804640297b0320a64b64073613d0ac272b147dc5a0bf3459bc2618b1dea1493f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"804640297b0320a64b64073613d0ac272b147dc5a0bf3459bc2618b1dea1493f","first_computed_at":"2026-05-18T01:06:36.313858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:36.313858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Zmdh1qZVHJi/vX8jePzblX61WOzUIFK2l5IP9tzWbieKnMgil/NitZlB+/n9uzTiYhEO0dtWWHjGUwuLL1JAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:36.314575Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9801015","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbe40c88419e29eaef6b26c4c6e7c677278d8d3d185c38617c29897073596549","sha256:fff87a2a0e8bf1f570e30acd0d16d311b77c9cd5be35714147df8b5d435c4da9"],"state_sha256":"f9399d34c454780a46ba2cdc9b7e4155af1a2455a57bdbb4c1a8d9477d7c4ae5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7PiDw1L552Ba+CSV2eBv8H9BfXc+V8TaI93dB10yKoK0rlaBmtqOzG8LeDXlUToA7ySZceXGdWingEBVlvlmBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:03:39.776677Z","bundle_sha256":"871da175334acd2b30b83ab38ee6ce34ee45d5a810a3c29b9aec8006d5eb2174"}}